The number 13435
13435 is a composite number with 4 divisors. Its prime factorisation is 5 × 2687. Divisors (4): 1, 5, 2687, 13435.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13435: a semiprime: 5 × 2687, the product of two primes.
- 2
13435 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 13435 itself that is 2693, so 13435 is deficient (2693 is less than 13435). Euler's totient φ(13435) = 10744 numbers up to 13435 share no factor with it.
- 4
The digits of 13435 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13435 = 5 \times 2687 \]
13435 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 10744 |
| Square | 180499225 |
| Cube | 2425007087875 |
| Square root | 115.909447 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3435 × |
13435 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and thirty-five |
| Binary (base 2) | 11010001111011 |
| Octal (base 8) | 32173 |
| Hexadecimal (base 16) | 347B |
| Base 3 | 200102121 |
| As time | 13435 seconds = 3 h 43 min 55 s |
Is 13435 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13435 ÷ 5 = 2687) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13435 a prime number?
No. 13435 = 5 × 2687, so it is divisible by 5.
What are the factors of 13435?
1, 5, 2687, 13435.
What is 13435 in binary?
11010001111011 (hexadecimal 347B, octal 32173).
What is the square root of 13435?
About 115.9094.
Is 13435 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13435?
13435 is a semiprime: 5 × 2687, the product of two primes.